Diffeological
adj ·Rare ·Advanced level
Definitions
- 1 Having a diffeology. not-comparable
"We apply this notion to make some observation on subspaces which split off as smooth direct summands (providing examples which illustrate that not all subspaces do), and then to show that the diffeological dual of a finite-dimensional diffeological vector space always has the standard diffeology and in particular, any pseudo-metric on the initial space induces, in the obvious way, a smooth scalar product on the dual.."
Example
More examples"We apply this notion to make some observation on subspaces which split off as smooth direct summands (providing examples which illustrate that not all subspaces do), and then to show that the diffeological dual of a finite-dimensional diffeological vector space always has the standard diffeology and in particular, any pseudo-metric on the initial space induces, in the obvious way, a smooth scalar product on the dual.."
Etymology
From diffeology + -ical.
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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.